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11132222103200 = 2552111399100901
BaseRepresentation
bin1010000111111110110000…
…1001001101111010100000
31110102020012200212110110202
42201333230021031322200
52424342242324300300
635402023334044332
72226163561415552
oct241775411157240
943366180773422
1011132222103200
113602170185070
1212b95ba7a96a8
136299c1798a43
142a6b33bd34d2
15144894653ad5
hexa1fec24dea0

11132222103200 has 144 divisors (see below), whose sum is σ = 29860423498080. Its totient is φ = 4018957440000.

The previous prime is 11132222103077. The next prime is 11132222103283. The reversal of 11132222103200 is 230122223111.

11132222103200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3327251 + ... + 5773650.

It is an arithmetic number, because the mean of its divisors is an integer number (207364052070).

Almost surely, 211132222103200 is an apocalyptic number.

11132222103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132222103200 is an abundant number, since it is smaller than the sum of its proper divisors (18728201394880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11132222103200 is a wasteful number, since it uses less digits than its factorization.

11132222103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9101071 (or 9101058 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11132222103200 its reverse (230122223111), we get a palindrome (11362344326311).

The spelling of 11132222103200 in words is "eleven trillion, one hundred thirty-two billion, two hundred twenty-two million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 139 160 176 200 220 275 278 352 400 440 550 556 695 800 880 1100 1112 1390 1529 1760 2200 2224 2780 3058 3475 4400 4448 5560 6116 6950 7645 8800 11120 12232 13900 15290 22240 24464 27800 30580 38225 48928 55600 61160 76450 111200 122320 152900 244640 305800 611600 1223200 9100901 18201802 36403604 45504505 72807208 91009010 100109911 145614416 182018020 200219822 227522525 291228832 364036040 400439644 455045050 500549555 728072080 800879288 910090100 1001099110 1265025239 1456144160 1601758576 1820180200 2002198220 2502747775 2530050478 3203517152 3640360400 4004396440 5005495550 5060100956 6325126195 7280720800 8008792880 10010991100 10120201912 12650252390 13915277629 16017585760 20021982200 20240403824 25300504780 27830555258 31625630975 40043964400 40480807648 50601009560 55661110516 63251261950 69576388145 80087928800 101202019120 111322221032 126502523900 139152776290 202404038240 222644442064 253005047800 278305552580 347881940725 445288884128 506010095600 556611105160 695763881450 1012020191200 1113222210320 1391527762900 2226444420640 2783055525800 5566111051600 11132222103200